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Finding the Fourth Proportional to 9,705.02, 13,394.04 and 5,398.54

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Solution

The fourth proportional to 9,705.02, 13,394.04 and 5,398.54 is: 7,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.02 : 13,394.04 = 5,398.54 : x
  2. Step 2: Convert to fraction form
    9,705.02/13,394.04 = 5,398.54/x
  3. Step 3: Cross multiply
    9,705.02x = 13,394.04 × 5,398.54
  4. Step 4: Simplify right side
    9,705.02x = 72,308,227.22
  5. Step 5: Solve for x
    x = 72,308,227.22/9,705.02
  6. Step 6: Final answer
    x = 7,450.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.